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2 The half range cosine expansion of f(t) = t + t,0

2 The half range cosine expansion of f(t) = t + t,0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find among the choices the half range cosine expansion of the given function

2 The half range cosine expansion of f(t) = t + t, 0<t<1 is f(t) [2(3(– 1)")] cos (nnt)/nn 6 2 2 + 5 [2(3(– 1)" – 1)] cos (nnt)/n 6 f(t) - 00 2 2 f(t) = 5 [2(3(– 1)" – 1)] cos (nnt)/n 5 2 2 flt) = + [2(3(–1)^ – 1)] cos (nnt)/n f(t) 3
Transcribed Image Text:2 The half range cosine expansion of f(t) = t + t, 0<t<1 is f(t) [2(3(– 1)")] cos (nnt)/nn 6 2 2 + 5 [2(3(– 1)" – 1)] cos (nnt)/n 6 f(t) - 00 2 2 f(t) = 5 [2(3(– 1)" – 1)] cos (nnt)/n 5 2 2 flt) = + [2(3(–1)^ – 1)] cos (nnt)/n f(t) 3
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